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Question

Sultana · Accepted Answer

Solution 1
Let us assume that statement denoted by P(n)
P(n): 10n is divisible by 5 or 8 where n > 2
Now, at n = 3
P(3) = 103 = 1000
P(3) = 1000 is divisible by 5 or 8.
P(3) is true
Now, assume for all value of n = k, P(k) is true.
i.e. P(k) is divisible by 5 or 8 where k > 2
So,
P(k) = 10k is divisible by 5 or 8
· 10k = 40x
· Now,
P(k+1) = 10k+1
P(k+1) = 10k * 10 
P(k+1) = 40k * 10
P(k+1) = 400k
Hence, 400x is divisible by 5 or 8. Therefore, the statement P(k+1) also true for all k.
So, P(k) is true
i.e.

This math assignment requires steps for points, can you help?

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